Search a number
-
+
473401091520 = 26355779101109
BaseRepresentation
bin1101110001110001110…
…01110110010111000000
31200020221010200011100000
412320320321312113000
530224011134412040
61001251044200000
746126214612250
oct6707071662700
91606833604300
10473401091520
1117284a635905
12778b9099000
13358455a1586
1418cac78b960
15c4aa8ca130
hex6e38e765c0

473401091520 has 1344 divisors, whose sum is σ = 1991724134400. Its totient is φ = 104808038400.

The previous prime is 473401091489. The next prime is 473401091521. The reversal of 473401091520 is 25190104374.

473401091520 is a `hidden beast` number, since 4 + 7 + 3 + 40 + 1 + 0 + 91 + 520 = 666.

473401091520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473401091521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4343129226 + ... + 4343129334.

It is an arithmetic number, because the mean of its divisors is an integer number (1481937600).

Almost surely, 2473401091520 is an apocalyptic number.

473401091520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473401091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995862067200).

473401091520 is an abundant number, since it is smaller than the sum of its proper divisors (1518323042880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

473401091520 is a wasteful number, since it uses less digits than its factorization.

473401091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 473401091520 its reverse (25190104374), we get a palindrome (498591195894).

The spelling of 473401091520 in words is "four hundred seventy-three billion, four hundred one million, ninety-one thousand, five hundred twenty".